A binomial heap H is a set of binomial trees that satisfies the following binomial-heap properties.

1. Each binomial tree in H obeys the min-heap property: the key of a node is greater than or equal to the key of its parent. We say that each such tree is min-heap-ordered. It tells us that the root of a min-heap-ordered tree contains the smallest key in the tree.

2. For any nonnegative integer k, there is at most one binomial tree in H whose root has degree k. It implies that an n-node binomial heap H consists of at most ⌊lg n⌋ + 1 binomial trees.

3.No two trees will be having same degree and they will be arranged in increasing order of degree.

                                                                                              Here all the trees are having different degrees.






                                                                                                                        continue construction-of-binomial-heap.php

                                                                                                                                                                                   binomial-trees-properties.php

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